176/117: Difference between revisions

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 {{Infobox Interval
-| Icon =
+| Name = major minthmic fifth
-| Ratio = 176/117
+| Color name = 3u1o5, thulo 5th
-| Monzo = 4 -2 0 0 -1 1
-| Cents = 706.88028
-| Name = tridecimal gentle fifth
-| Color name =
 | Sound = Ji-176-117-csound-foscil-220hz.mp3
 }}
-[[Category:13-limit]]
+'''176/117''', the '''major minthmic fifth''', is a [[13-limit]] [[interval]] of 706.8{{cent}}. It is [[352/351]] sharp of the just perfect fifth of [[3/2]]. It arises in 13-limit [[just intonation]] by lowering [[22/13]] by [[9/8]] or by stacking [[16/13]] and [[11/9]].
-[[Category:Interval ratio]]
+Note that ''major minthmic'' modifies ''fifth'' and that ''major minthmic'' is the name of the temperament that tempers out 352/351. ''Major'' does not specify the size of the interval here.
+== See also ==
+* [[117/88]] – its [[octave complement]]
+* [[182/121]] – the minor minthmic fifth
+* [[Gallery of just intervals]]
 [[Category:Fifth]]
-[[Category:Gentle]]
+[[Category:Major minthmic]]
-[[Category:Listen]]
-[[Category:Todo:improve synopsis]]
-[[Category:Todo:add color name]]
-[[Category:Todo:expand]]